NAKASHIMA Norihiro 中島規博

… Alternative Names

中島規博ナカシマノリヒロ

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Researcher Number	90732115
Other IDs
Affiliation (Current)	2025: 名古屋工業大学, 工学(系)研究科(研究院), 准教授
Affiliation (based on the past Project Information) *help	2020 – 2023: 名古屋工業大学, 工学(系)研究科(研究院), 准教授 2018: 名古屋工業大学, 工学(系)研究科(研究院), 准教授 2017: 東京電機大学, 未来科学部, 助教 2016: 東京電機大学, 情報環境学部, 助教 2014 – 2015: 豊田工業大学, 工学部, 研究員
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator 誤り訂正符号 / 超平面配置 / ハミング多項式 / Whitney多項式 / 特性準多項式 / ハミング重み多項式 / 高階自由配置 / コバウンダリー多項式 / 自由配置 / 応用数学 … More / 代数学 / Shi配置 / Catalan配置 / Coboundary多項式 / Hamming重み多項式 / 特性多項式 / 表現論 / グレブナー基底 / 代数的符号理論 … More Except Principal Investigator ワイル配置 / 鏡映群 / 自由配置 / 代数学 / 超平面配置 / 代数的組合せ論 Less

超平面配置の高階自由性とコバウンダリー多項式の研究Principal Investigator
- Principal Investigator
  
  中島規博
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Nagoya Institute of Technology
A fusion of hyperplane arrangements and error correcting codesPrincipal Investigator
- Principal Investigator
  
  Nakashima Norihiro
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya Institute of Technology
  Tokyo Denki University
Study of algebraic coding theory via representation theory and via the theory of Groebner basesPrincipal Investigator
- Principal Investigator
  
  NAKASHIMA Norihiro
- Project Period (FY)
  2014 – 2015
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Algebra
- Research Institution
  Toyota Technological Institute
Panoptic Study of Hyperplane arrangements
- Principal Investigator
  
  Terao Hiroaki
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 Other

All Journal Article Presentation

[Journal Article] High Order Free Hyperplane Arrangements in 3-Dimensional Vector Spaces2023
- Author(s)
  Nakashima Norihiro
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 27 Issue: 1 Pages: 877-896
- DOI
  10.1007/s10468-023-10237-7
- Data Source
  KAKENHI-PROJECT-20K14282
[Journal Article] Freeness for restriction arrangements of the extended Shi and Catalan arrangements2023
- Author(s)
  Nakashima Norihiro、Tsujie Shuhei
- Journal Title
  
  Discrete Mathematics
  
  Volume: 346 Issue: 12 Pages: 113601-113601
- DOI
  10.1016/j.disc.2023.113601
- Data Source
  KAKENHI-PROJECT-20K14282
[Journal Article] Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species2021
- Author(s)
  Norihiro Nakashima、Shuhei Tsujie
- Journal Title
  
  Journal of Integer Sequences
  
  Volume: 24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14282
[Journal Article] Canonical systems of basic invariants for unitary reflection groups.2016
- Author(s)
  Norihiro Nakashima, Hiroaki Terao, Shuhei Tsujie
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: 59(3) Issue: 3 Pages: 617-623
- DOI
  10.4153/cmb-2016-031-7
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24244001
[Journal Article] Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine Spaces2016
- Author(s)
  Norihiro Nakashima, Hajime Matsui
- Journal Title
  
  IEICE Trans. Fundamentals
  
  Volume: E99.A Issue: 3 Pages: 733-741
- DOI
  10.1587/transfun.E99.A.733
- NAID
  130005131283
- ISSN
  0916-8508, 1745-1337
- Language
  English
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K13994, KAKENHI-PROJECT-26887043
[Presentation] Higher-order freeness for hyperplane arrangements2023
- Author(s)
  Norihiro Nakashima
- Organizer
  International Colloquium on Differential Geometry and its Related Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] A condition for the extended Shi arrangements of type A to be hereditarily free2023
- Author(s)
  Norihiro Nakashima
- Organizer
  Combinatorics, geometry and commutative algebra of hyperplane arrangements
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] Coboundary polynomial and related polynomial invariants2023
- Author(s)
  Norihiro Nakashima
- Organizer
  10th International Congress on Industrial and Applied Mathematics, Minisymposium `Hyperplane arrangements and enumerative problems'
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] ハミング重み多項式とコバウンダリー多項式の関係2023
- Author(s)
  中島規博
- Organizer
  離散構造における多項式不変量の研究
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] A型拡張Shi配置とA型拡張Catalan配置が遺伝的自由配置であるための条件2022
- Author(s)
  中島規博
- Organizer
  2022年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] 拡張Shi配置と拡張Catalan配置の遺伝的自由性について2022
- Author(s)
  中島規博
- Organizer
  超平面配置の数学とその進展2022
- Invited
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] 誤り訂正符号の重み多項式と超平面配置のcoboundary多項式2022
- Author(s)
  中島規博
- Organizer
  誤り訂正符号と超平面配置の関係とその応用
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] Computation of characteristic quasi polynomials for Coxeter arrangements of types BCD by counting points of the complement2022
- Author(s)
  Norihiro Nakashima
- Organizer
  超平面配置の代数的組み合わせ論と関連する諸分野
- Invited
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] ハミング重み多項式とコバウンダリー多項式の変換公式について2022
- Author(s)
  中島規博
- Organizer
  代数的組合せ論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] 自由配置の理論に現れるグラフの例2020
- Author(s)
  中島　規博
- Organizer
  Japanese Conference on Combinatorics and its Application 2020，離散数学とその応用研究集会2020，スペクトラルグラフ理論および周辺領域第9回研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] 高階自由配置に関するHolmの問題の反例と3次元の場合の証明2020
- Author(s)
  中島　規博
- Organizer
  広島国際学院大学離散数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14282
[Presentation] Hamming重み多項式とTutte多項式の関係と超平面配置のcoboundary多項式2019
- Author(s)
  中島　規博
- Organizer
  グラフの新たな局所変形の開発とその応用
- Invited
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] Coboundary polynomials of Coxeter arrangements and Catalan arrangements2019
- Author(s)
  Norihiro Nakashima
- Organizer
  CIMPA School, Hyperplane Arrangements: Recent Advances and Open Problems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] A modification of the discrete Fourier transform for the code defined by Garcia-Stichtenoth tower2018
- Author(s)
  中島　規博
- Organizer
  代数的手法による数理暗号解析
- Invited
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] Answers to some questions for high order freeness of hyperplane arrangements2017
- Author(s)
  Norihiro Nakashima
- Organizer
  ALTA Oberseminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] A module of high order differential operators on a hyperplane arrangement2017
- Author(s)
  中島　規博
- Organizer
  Hyperplane arrangements and related topics
- Place of Presentation
  北海道大学理学部５号館（北海道札幌市）
- Year and Date
  2017-02-13
- Invited
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] 超平面配置の高階自由性に関する基本的性質2017
- Author(s)
  中島　規博
- Organizer
  表現論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] 超平面配置の自由性と高階自由性I,II2017
- Author(s)
  中島　規博
- Organizer
  第４回ワークショップ「非可換Gorenstein 代数とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] Discrete Fourier transforms on some asymptotically good towers of curves2016
- Author(s)
  Norihiro Nakashima
- Organizer
  Workshop on Hyperplane Arrangements and Singularity Theory
- Place of Presentation
  Hokkaido University, Sapporo, Hokkaido
- Year and Date
  2016-03-22
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] Reed-Solomon符号の誤り訂正アルゴリズム入門2016
- Author(s)
  中島　規博
- Organizer
  信州大学数理科学談話会
- Place of Presentation
  信州大学松本キャンパス（長野県松本市）
- Invited
- Data Source
  KAKENHI-PROJECT-16K17582
[Presentation] Modified DFTs for Affine Variety Codes2015
- Author(s)
  中島　規博，松井　一
- Organizer
  第38回情報理論とその応用シンポジウム
- Place of Presentation
  岡山県倉敷市下電ホテル
- Year and Date
  2015-11-24
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 有限体の部分半群におけるDFTのアフィン多様体符号への応用2015
- Author(s)
  中島　規博，松井　一
- Organizer
  2015年電子情報通信学会ソサイエティ大会
- Place of Presentation
  東北大学川内北キャンパス（宮城県仙台市）
- Year and Date
  2015-09-08
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 代数的な誤り訂正符号の符号化と復号化について2015
- Author(s)
  中島　規博
- Organizer
  大阪組合せ論セミナー
- Place of Presentation
  大阪市立大学梅田サテライト（大阪府大阪市）
- Year and Date
  2015-04-18
- Invited
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 符号のLocalityとAvailabilityについて2015
- Author(s)
  中島　規博
- Organizer
  第４回誤り訂正符号のワークショップ
- Place of Presentation
  石川県加賀市白山菖蒲亭
- Year and Date
  2015-09-02
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] A semigroup DFT over finite fields applied to affine variety codes2015
- Author(s)
  Norihiro Nakashima, Hajime Matsui
- Organizer
  The IEEE International Symposium on Information Theory 2015, Recent Results Poster Session
- Place of Presentation
  Hong Kong Convention and Exhibition Centre, Hong Kong, China
- Year and Date
  2015-06-14
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] アフィン多様体符号の誤り訂正における離散フーリエ変換2015
- Author(s)
  中島　規博
- Organizer
  九州産業大学数学教室セミナー
- Place of Presentation
  九州産業大学（福岡県福岡市）
- Year and Date
  2015-12-09
- Invited
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 代数的誤り訂正符号の復号法について2015
- Author(s)
  中島　規博
- Organizer
  信州代数セミナー
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2015-02-02
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] グレブナー基底と DFT を用いたエルミート曲線符号の符号化・復号化2015
- Author(s)
  中島　規博，松井　一
- Organizer
  平成27年度電気・電子・情報関係学会東海支部連合大会
- Place of Presentation
  名古屋工業大学（愛知県名古屋市）
- Year and Date
  2015-09-28
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 射影空間の分解を用いた射影Reed-Muller符号の復号法2014
- Author(s)
  中島　規博
- Organizer
  2014年度第２回九州大学組合せ数学セミナー
- Place of Presentation
  九州工業大学サテライト福岡天神
- Year and Date
  2014-10-18
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] Correction of Errors for Projective RM Codes by Decomposing Projective Space into Affine Spaces
- Author(s)
  中島　規博、　松井　一
- Organizer
  第37回情報理論とその応用シンポジウム
- Place of Presentation
  富山県黒部市宇奈月温泉
- Year and Date
  2014-12-09 – 2014-12-12
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 射影Reed-Muller符号の誤り値決定と計算量
- Author(s)
  中島　規博、　松井　一
- Organizer
  2014電子情報通信学会ソサイエティ大会
- Place of Presentation
  徳島大学
- Year and Date
  2014-09-23 – 2014-09-25
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 射影空間の分解を用いた射影Reed-Muller符号の復号法とその性能評価
- Author(s)
  中島　規博
- Organizer
  第11回数学総合若手研究集会
- Place of Presentation
  北海道大学理学部５号館
- Year and Date
  2015-03-02 – 2015-03-05
- Data Source
  KAKENHI-PROJECT-26887043
[Presentation] 離散フーリエ変換とBMSアルゴリズムを用いた射影Reed-Muller符号の復号法
- Author(s)
  中島　規博、　松井　一
- Organizer
  2015日本数学会年会
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-26887043

1. Terao Hiroaki (90119058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. ABE Takuro (50435971)

# of Collaborated Projects: 1 results

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3. KAMIYA Hidehiko (50300687)

# of Collaborated Projects: 1 results

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4. KOHNO Toshitake (80144111)

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5. TAKEMURA Akimichi (10171670)

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6. TERAOSOMA Tomohide (50192654)

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7. MATSUMOTO Kohji (60192754)

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8. 吉永正彦 (90467647)

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9. Tsujie Shuhei

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10. Cuntz Michael

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11. Hoge Torsten

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12. Roehrle Gerhard

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13. Schenck Hal

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NAKASHIMA Norihiro 中島 規博

中島 規博 ナカシマ ノリヒロ

Research Projects

Research Products

Co-Researchers

超平面配置の高階自由性とコバウンダリー多項式の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A fusion of hyperplane arrangements and error correcting codesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of algebraic coding theory via representation theory and via the theory of Groebner basesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Panoptic Study of Hyperplane arrangements

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] High Order Free Hyperplane Arrangements in 3-Dimensional Vector Spaces2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Freeness for restriction arrangements of the extended Shi and Catalan arrangements2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species2021

Author(s)

Journal Title

Data Source

[Journal Article] Canonical systems of basic invariants for unitary reflection groups.2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine Spaces2016

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Presentation] Higher-order freeness for hyperplane arrangements2023

Author(s)

Organizer

Data Source

[Presentation] A condition for the extended Shi arrangements of type A to be hereditarily free2023

Author(s)

Organizer

Data Source

[Presentation] Coboundary polynomial and related polynomial invariants2023

Author(s)

Organizer

Data Source

[Presentation] ハミング重み多項式とコバウンダリー多項式の関係2023

Author(s)

Organizer

Data Source

[Presentation] A型拡張Shi配置とA型拡張Catalan配置が遺伝的自由配置であるための条件2022

Author(s)

Organizer

Data Source

[Presentation] 拡張Shi配置と拡張Catalan配置の遺伝的自由性について2022

Author(s)

Organizer

Data Source

NAKASHIMA Norihiro 中島規博

中島規博ナカシマノリヒロ